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An isotope of hydrogen atom is represen...

An isotope of hydrogen atom is represented as X which follows Bohr's model and exists as diatomic gaseous molecule `X_(2)`. Also the normal boiling point of a compound `X_(2)O` liquid is found to be `101^(@)` C and that of solution obtaind on dissolving `0.1` moles of `NaCl` in `1` kg of `X_(2)O`liquid is `101.4^(@)C`. It is also known that the ionization energy of X is equal to `14 eV`.
The energy required to excite electron from ground state of IInd excited state is given by :

A

`10.2"e V"//"atm"`

B

`12.1"e V"//"atm"`

C

`12.44"e V"//"atm"`

D

`10.5"e V"//"atm"`

Text Solution

Verified by Experts

The correct Answer is:
C
`"E"_("n")=-14xx("Z"^(2))/("n"^(2))"e V"//"atom"`
Z=1
`Delta"E"="E"_(3)-"E"_(1)=-14xx1^(2)xx1/3^(2)+14xx1^(1)xx1/1^(2)`
`=14[1-(1)/(9)]=14xx8/9=12.44"eV"//"atm"`
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